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22 Apr 2020, 10:31
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
59% (02:13) correct
41%
(02:28)
wrong
based on 430
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95% of the students in a class have taken Marketing, 80% have chosen Finance, 84% have chosen operations (ops), and 90% have chosen Human Resources (HR). What is the maximum and minimum percentage of people who have chosen all of the four?
A. 80% and 56%
B. 95% and 53%
C. 80% and 49%
D. 80% and 51%
E. 85% and 55%
Are You Up For the Challenge: 700 Level Questions
A. 80% and 56%
B. 95% and 53%
C. 80% and 49%
D. 80% and 51%
E. 85% and 55%
Are You Up For the Challenge: 700 Level Questions
23 Apr 2020, 11:37
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My thinking is the following, please correct me if I'm wrong:
Max
Max = 80% ; given that finance (80% of students) comprises the smallest % of the total available for overlap of students studying other subjects.
Min
Cumulative sum of % of students NOT studying respective subject - Lets call this N
N = (1 - .8) + (1-.95) + (1-.9) + (1-.84) = .51
We are looking for the minimum number of students that can study all FOUR subjects, however we just found the maximum number of students studying 3 subjects or less. Therefore if we subtract N from 1 we get the minimum number of students studying four subjects.
Min = 1 - .51 = .49
So Answer C.
Max
Max = 80% ; given that finance (80% of students) comprises the smallest % of the total available for overlap of students studying other subjects.
Min
Cumulative sum of % of students NOT studying respective subject - Lets call this N
N = (1 - .8) + (1-.95) + (1-.9) + (1-.84) = .51
We are looking for the minimum number of students that can study all FOUR subjects, however we just found the maximum number of students studying 3 subjects or less. Therefore if we subtract N from 1 we get the minimum number of students studying four subjects.
Min = 1 - .51 = .49
So Answer C.
25 Jul 2022, 04:40
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Let there be 100 students in the class.
Students who have taken marketing = 95
Students who have taken finance = 80
Students who have taken operations = 84
Students who have taken HR = 90
The maximum number of people who have chosen all four = 80(since the minimum number of students in one department is 80)
The minimum number of the people who have chosen all four = 100 - (100 - 95) - (100-80) - (100-84) - (100-90) = 100 - 51 = 49
Thus, the correct option is C.
Students who have taken marketing = 95
Students who have taken finance = 80
Students who have taken operations = 84
Students who have taken HR = 90
The maximum number of people who have chosen all four = 80(since the minimum number of students in one department is 80)
The minimum number of the people who have chosen all four = 100 - (100 - 95) - (100-80) - (100-84) - (100-90) = 100 - 51 = 49
Thus, the correct option is C.
